mikemelosh - Algebra S2

Chapter 5

In this chapter you will

5.1 The students will

Learn about solving systems of equations.
- Model real-world situations with systems of two equations
- Solve systems of two linear equations using tables and graphs
- Understand that the intersection of the two lines provides a solution to the system and thus to the real-world problem

5.2 The students will

Learn about solving systems of equations using substitution.
- Understand the limitations of solving systems graphically
- Solve systems of linear equations using substitution

5.3 The students will

Learn about solving systems of equations using elimination.
- Solve systems of linear equations in two variables by eliminating one variable
- See more examples in which two linear equations can model real-world situations

5.4 The students will

Learn about solving systems of equations using matrices
- Represent a linear system with a matrix
- Use the method of Gaussian elimination for solving systems of linear equations
- Use the calculator to solve systems of linear equations.

5.5 The students will

Learn about inequalities in one variable
- Write and solve one-variable inequalities and interpret the results based on real-world situations
- Graph solutions to one-variable inequalities on a number line, showing whether they are strict inequalities
- Interpret an interval graphed on a number line as an inequality sentence
- Learn the sign-change rule for multiplying or dividing both sides of a one-variable inequality by a negative number.

5.6 The students will

Learn about graphing inequalities in two variables
- Solve two-variable inequalities for y
- Graph inequalities on the coordinate plane and show the solutions as the intersection of two half-planes
- Interpret graphs of half-planes and write corresponding inequalities

5.7 The students will

Learn about systems of inequalities
- Solve systems of inequalities by graphing
- Interpret the mathematical solutions in terms of the problem context
- Write inequalities to represent constraints in application problems

Chapter 6

In this chapter you will:

6.1 The students will

Learn about recursive routines.
- Begin to investigate geometric sequences using recursive routines
- See examples of growth and decay that can be modeled recursively.

6.2 The students will

Learn about exponential equations.
- Explore exponential growth and decay patterns
- Discover the connection between recursive and exponential forms of geometric sequences.

6.3 The students will

Learn about multiplication and exponents.
- Review or learn the multiplication property of exponents
- Review or learn the power properties of exponents.

6.4 The students will

Learn about scientific notation for large numbers.
- Write in scientific notation numbers far from zero
- Rewrite in standard notation numbers that are in scientific notation
- Learn how calculators represent scientific notation.

6.5 The students will

Learn about looking back with exponents.
- Review or learn the division property of exponents.

6.6 The students will

Learn about zero and negative exponents.
- Investigate the meaning of nonpositive exponents
- Write a number with a negative exponent in a form that has a positive exponent and write a number with a positive exponent in a form that has a negative exponent
- Write in scientific notation numbers close to zero.

6.7 The students will

Learn about fitting exponential models to data.
- Write exponential equations that model real-world growth and decay data.

6.8 The students will

Learn about decreasing exponential models and half-life.
- Write exponential equations that model real-world decay data.

Chapter 7

In this chapter you will

7.1 The students will

7.2 The students will

7.3
7.4
7.5
7.6

Chapter 8
Chapter 9